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Finding the Third Proportional to 341,570 and 730,434

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Solution

The third proportional to 341,570 and 730,434 is: 1,562,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,570 : 730,434 = 730,434 : x
  2. Step 2: Convert to fraction form
    341,570/730,434 = 730,434/x
  3. Step 3: Cross multiply
    341,570x = 730,434 × 730,434
  4. Step 4: Simplify right side
    341,570x = 533,533,828,356
  5. Step 5: Solve for x
    x = 533,533,828,356/341,570
  6. Step 6: Final answer
    x = 1,562,004.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.